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1.

a) \left\{\begin{array}{r}x=2 \\ 3 x-2 y=1\end{array}\right.
Soluție:( 2, \frac{5}{2} )

b)\left\{\begin{aligned} 3 x+4 y &=2 \\ y &=0,5 \end{aligned}\right.
Soluție:( 0, \frac{1}{2} )

c)\left\{\begin{aligned} x &=5+y \\ 2 x-3 y &=14 \end{aligned}\right.
Soluție:( 2, -4 )

2.

a)\left\{\begin{array}{l}x+y-2=1 \\ x-y+2=1\end{array}\right.
Soluție:( 1, 2 )

b)\left\{\begin{array}{l}2 x+2 y=x-1 \\ 3 x-2 y=7+2 y\end{array}\right.
Soluție:( 1, -1 )

c)\left\{\begin{array}{c}4 x-y=-2 \\ 2 x+5 y=10\end{array}\right.
Soluție:( 0, 2 )

d)\left\{\begin{aligned}-7 x+10 y &=-19 \\ x-4 y &=4 \end{aligned}\right.
Soluție:( 2, -\frac{1}{2} )

e)\left\{\begin{array}{c}3 x+11 y=-7 \\ 6 x-y=9\end{array}\right.
Soluție:( \frac{4}{3}, -1 )

f)\left\{\begin{array}{l}2 x+3 y=1 \\ 4 x+6 y=2\end{array}\right.
Soluție: nedefinit ( k, \frac{1-2k}{3} )

g)\left\{\begin{array}{r}-11 y+24 x=-189 \\ x+13 y=-129\end{array}\right.
Soluție:( -12,-9 )

h)\left\{\begin{array}{c}6 x-7 y=24 \\ 4 x-y=5\end{array}\right.
Soluție:( \frac{1}{2}, -3 )

i)\left\{\begin{aligned} 3 x-2 y &=13 \\ 2 x+y &=4 \end{aligned}\right.
Soluție:( 3, -2 )

3.

a)\left\{\begin{array}{c}x+2 y=5 \\ 0,5 x+y=3\end{array}\right.
Soluție:( imposibil )

b)\left\{\begin{array}{c}18 x+3 y=8 \\ x+6 y=-\frac{3}{2}\end{array}\right.
Soluție:( \frac{1}{2}, \frac{1}{3} )

c)\left\{\begin{array}{c}2 x+\frac{1}{2} y=1 \\ 4 x+y=2\end{array}\right.
Soluție:( -\frac{1}{2}, 4 )

d)\left\{\begin{array}{l}\frac{3 x}{2}-\frac{6 y}{5}=18 \\ -\frac{x}{4}+y=-11 \end{array}\right.
Soluție:( 4, -10 )

e)\left\{\begin{array}{c}-\frac{x}{2}+\frac{y}{3}=0 \\ \frac{x}{3}+3 y=29\end{array}\right.
Soluție:( 6, 9 )

f)\left\{\begin{array}{l}\frac{2 x-5}{3}+\frac{4-3 y}{2}=4 \\ 9 y-4 x=22\end{array}\right.
Soluție:( imposibil )

g)\left\{\begin{array}{c}\frac{11 x-7}{8}-3 y=\frac{5 y-2}{2}+2 x \\ 5 x+44 y=1\end{array}\right.
Soluție:nedefinit ( k, \frac{1-5k}{44} )

h)\left\{\begin{array}{c}0,3 x-y=1,1 \\ 2 y-0,5 x=-1,5\end{array}\right.
Soluție:( 7, 1 )

i)\left\{\begin{array}{l}\frac{4 x+3 y-1}{2}=\frac{7 x-5 y+8}{4} \\ \frac{5 x-3 y+5}{3}=\frac{2 x+3 y+4}{5}-2\end{array}\right.
Soluție:( -1, 1 )

j)\left\{\begin{array}{l}x+y=5 \\ y^{2}-x^{2}=35\end{array}\right.
Soluție:( -1, 6 )

k)\left\{\begin{array}{c}\frac{x-1}{2}+\frac{7+8 y}{9}=1+y \\ (x-1)^{2}+y=x^{2}-3\end{array}\right.
Soluție:( 1, -2 )

l)\left\{\begin{array}{c}(x-4)(x+4)+y^{2}=(y-2)^{2}+x^{2} \\ \frac{x-3}{2}+1=y-2\end{array}\right.
Soluție:( 7, 5 )

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